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A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C is
- a)Greater than T minutes
- b)Equal to T minutes
- c)Less than T minutes
- d)Equal to T 2 minutes
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A body takes T minutes to cool from 62�C to 61�C when th...
According to Newton's law of cooling, - dθ dt = k(θ - θ0)
or - dθ θ − θ 0 = kdt
− ∫ θ 1 θ 2 dθ θ − θ 0 = k ∫ 0 t dt
− |log e θ − θ 0 | θ 1 θ 2 = kt
or loge (θ1 - θ0) - loge (θ2 - θ0) = kt
or loge θ 1 − θ 0 θ 2 − θ 0 = kt
In the first case,
kt = loge 62 - 30 61 - 30 or kt = loge 32 31 .....(1)
In the second case,
kt' = loge 46 - 30 45.5 - 30
or kt' = loge 16 15.5 or kt' = loge 160 155
or kt' = loge 32 31 .....(2)
It follows from (1) and (2) that t = t'
or - dθ θ − θ 0 = kdt
− ∫ θ 1 θ 2 dθ θ − θ 0 = k ∫ 0 t dt
− |log e θ − θ 0 | θ 1 θ 2 = kt
or loge (θ1 - θ0) - loge (θ2 - θ0) = kt
or loge θ 1 − θ 0 θ 2 − θ 0 = kt
In the first case,
kt = loge 62 - 30 61 - 30 or kt = loge 32 31 .....(1)
In the second case,
kt' = loge 46 - 30 45.5 - 30
or kt' = loge 16 15.5 or kt' = loge 160 155
or kt' = loge 32 31 .....(2)
It follows from (1) and (2) that t = t'
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A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer?
Question Description
A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer?.
A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer?.
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A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A body takes T minutes to cool from 62�C to 61�C when the surrounding temperature is 30�C. The time taken by the body to cool from 46�C to 45.5�C isa)Greater than T minutesb)Equal to T minutesc)Less than T minutesd)Equal to T 2 minutesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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